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Finding the Fourth Proportional to 169.63, 233.03 and 146.23

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Solution

The fourth proportional to 169.63, 233.03 and 146.23 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.63 : 233.03 = 146.23 : x
  2. Step 2: Convert to fraction form
    169.63/233.03 = 146.23/x
  3. Step 3: Cross multiply
    169.63x = 233.03 × 146.23
  4. Step 4: Simplify right side
    169.63x = 34,075.76
  5. Step 5: Solve for x
    x = 34,075.76/169.63
  6. Step 6: Final answer
    x = 200.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.